Found 99 Documents (Results 1–99)
Reducibility of 1-D Schrödinger equation with unbounded oscillation perturbations. (English) Zbl 07893791
Weak and strong interaction of excitation kinks in scalar parabolic equations. (English) Zbl 1521.35111
Manifestation of classical instability in the quantum density of states of a double well potential. (English) Zbl 1530.81010
Long-time behaviour of the solution of Maxwell’s equations in dissipative generalized Lorentz materials. I: A frequency-dependent Lyapunov function approach. (English) Zbl 1525.35213
Reviewer: Eric Stachura (Marietta)
Effective dynamics for a class of stochastic weakly damped wave equation with a fast oscillation. (English) Zbl 1512.37092
Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in symmergent gravity. (English) Zbl 1523.83044
Fractional oscillon equations: continuity properties of attractors with respect to order of the equations. (English) Zbl 1514.37098
Reviewer: Matheus Cheque Bortolan (Florianópolis)
Effects of diffusion and delayed immune response on dynamic behavior in a viral model. (English) Zbl 1511.35216
On oscillations to a 2D age-dependent predation equations characterizing Beddington-DeAngelis type schemes. (English) Zbl 1501.35422
Instability of the solitary waves for the 1d NLS with an attractive delta potential in the degenerate case. (English) Zbl 1500.35267
Reviewer: Xiaoming He (Beijing)
Transition of the breather wave of six-order nonlinear Schrödinger equation. (English) Zbl 1490.35465
The focusing NLS equation with step-like oscillating background: the genus \(3\) sector. (English) Zbl 1508.35156
Reviewer: Hajer Bahouri (Paris)
Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws. (English) Zbl 1498.65143
Reviewer: Murli Gupta (Washington, D.C.)
A quantitative rigidity result for a two-dimensional Frenkel-Kontorova model. (English) Zbl 1492.37068
Long-time asymptotics of a three-component coupled nonlinear Schrödinger system. (English) Zbl 1440.35308
Linear evolution of IGW structures in the ionospheri plasma at interaction with shear flows. (English) Zbl 1475.35263
Some simple problems for the next generations. (English) Zbl 1425.35002
Ben Ayed, Mohamed (ed.) et al., Partial differential equations arising from physics and geometry. A volume in memory of Abbas Bahri. Based on the conference, Hammamet, Tunisia, March 20–29, 2015. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 450, 296-310 (2019).
Higher-order rogue wave and rational soliton solutions of discrete complex mKdV equations. (English) Zbl 1464.35294
The \(N\)-wave equations with \(\mathcal{PT}\) symmetry. (English. Russian original) Zbl 1351.35090
Theor. Math. Phys. 188, No. 3, 1305-1321 (2016); translation from Teor. Mat. Fiz. 188, No. 3, 397-415 (2016).
Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation. (English) Zbl 1350.35181
Reviewer: Qin Meng Zhao (Beijing)
Oscillatory solitons of \(\mathrm{U}(1)\)-invariant modified Korteweg-de Vries equations. II: Asymptotic behavior and constants of motion. (English) Zbl 1346.35176
Reviewer: Ti-Jun Xiao (Fudan)
Non-accessible singular homoclinic orbits for a semilinear parabolic equation. (English) Zbl 1340.35179
Nonlinear diffusion: geodesic convexity is equivalent to Wasserstein contraction. (English) Zbl 1404.35266
Qualitative properties and existence of sign changing solutions with compact support for an equation with a \(p\)-Laplace operator. (English) Zbl 1277.35187
Known results and open problems on \(\mathcal C^1\) linearization in Banach spaces. (English) Zbl 1341.37010
A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations. (English) Zbl 1241.35001
Reviewer: Guy Katriel (Haifa)
On the Hartman-Grobman theorem with parameters. (English) Zbl 1205.37037
Reviewer: Vladimir P. Kostov (Nice)
Exact travelling wave solutions of the dissipative coupled Korteweg-de Vries equation. (English) Zbl 1185.35235
Forced oscillations of the Korteweg-de Vries equation on a bounded domain and their stability. (English) Zbl 1187.35226
Qualitative analysis and travelling wave solutions for the generalized Pochhammer-Chree equation with a dissipation term. (English) Zbl 1191.35243
Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations. (English) Zbl 1180.35336
Reviewer: Claudia Simionescu-Badea (Wien)
Rigorous numerics for the Cahn-Hilliard equation on the unit square. (English) Zbl 1160.37418
Reviewer: Boris V. Loginov (Ul’yanovsk)
A diffusive competition model with a protection zone. (English) Zbl 1138.35039
Reviewer: Mohamed O. El-Doma (Beirut)
On the chaotic behavior of a compressed beam. (English) Zbl 1139.35008
Reviewer: Christian Pötzsche (München)
Asymptotic properties and classification of bistable fronts with Lipschitz level sets. (English) Zbl 1194.35151
Reviewer: Messoud A. Efendiev (Berlin)
Exponential separation and principal Floquet bundles for linear parabolic equations on general bounded domains: the divergence case. (English) Zbl 1112.35082
Reviewer: Peter Poláčik (Minneapolis)
Principal eigenvalues, spectral gaps and exponential separation between positive and sign-changing solutions of parabolic equations. (English) Zbl 1152.35391
Global attractors for the strong solutions of Cahn-Hilliard equation. (Chinese. English summary) Zbl 1101.35309
Bifurcation from zero of a complete trajectory for nonautonomous logistic PDEs. (English) Zbl 1092.35514
Path integration of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations. (English) Zbl 1096.37029
Forced oscillations of a damped Benjamin-Bona-Mahony equation in a quarter plane. (English) Zbl 1084.35080
Imanuvilov, Oleg (ed.) et al., Control theory of partial differential equations. Papers of the conference, Washington, D. C., USA, May 30 – June 1, 2003. Boca Raton, FL: Chapman & Hall/CRC (ISBN 0-8247-2546-8/pbk). Lecture Notes in Pure and Applied Mathematics 242, 375-386 (2005).
Topological invariants in nonlinear boundary value problems. (English) Zbl 1083.35006
Reviewer: Wojciech Kryszewski (Toruń)
Spatial homogeneity in parabolic problems with nonlinear boundary conditions. (English) Zbl 1065.35073
Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle. (English) Zbl 1064.35076
Reviewer: Arnd Scheel (Minneapolis)
Solutions of the extended nonlinear Schrödinger equation that oscillate at infinity. (English) Zbl 1126.35362
Danilin, A. R. (ed.), Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 1, S54-S67 (2003).
Self-similarity in deterministic and stochastic dissipative systems. (English) Zbl 1049.35023
Reviewer: Aleksandr D. Borisenko (Kyïv)
Asymptotically finite dimensional pullback behaviour of non-autonomous PDEs. (English) Zbl 1026.37061
Parabolic equations: Asymptotic behavior and dynamics on invariant manifolds. (English) Zbl 1002.35001
Fiedler, Bernold (ed.), Handbook of dynamical systems. Volume 2. Amsterdam: Elsevier. 835-883 (2002).
Reviewer: Jan Cholewa (Katowice)
Instabilities and oscillations of one- and two-dimensional Kadomtsev-Petviashvili waves and solitons. II: Linear to nonlinear analysis. (English) Zbl 0998.37023
Reviewer: Guy Jumarie (Montréal)
Introduction to the theory of infinite-dimensional dissipative systems. Transl. from the Russian by Constantin I. Chueshov, edited by Maryna B. Khorolska. (English) Zbl 1100.37047
University Lectures in Contemporary Mathematics. Kharkiv: ACTA (ISBN 966-7021-64-5/hbk). 418 p. (2002).
Reviewer: Mikhail P. Moklyachuk (Kyïv)
Devaney’s chaos or 2-scattering implies Li-Yorke’s chaos. (English) Zbl 0997.54061
Reviewer: Andrzej Pelczar (Kraków)
Crossover collision of scroll wave filaments. (English) Zbl 0967.35010
Reviewer: Yuan Rong (Beijing)
Forced oscillations of a regularized long-wave equation and their global stability. (English) Zbl 0958.35123
Bates, Peter W. (ed.) et al., Differential equations and computational simulations. Proceedings of the international conference, Chengdu, China, June 13-18, 1999. Singapore: World Scientific. 456-463 (2000).
Equilibria with many nuclei for the Cahn-Hilliard equation. (English) Zbl 0990.35016
Reviewer: Michael Grinfeld (Glasgow)
Symmetry breaking in classical systems and nonlinear functional analysis. Lecture notes. (English) Zbl 1082.35005
Reviewer: Boris V. Loginov (Ul’yanovsk)
Introduction to the theory of infinite-dimensional dissipative systems. (Vvedenie v teoriyu beskonechnomernykh dissipativnykh sistem.) (Russian) Zbl 1100.37046
Universitetskie Lektsii po Sovremennoj Matematike. Khar’kov: AKTA (ISBN 966-7021-23-8/hbk). 436 p. (1999).
Reviewer: Mikhail P. Moklyachuk (Kyïv)
A note on slowly decaying solutions of the defocusing nonlinear Schrödinger equation. (English) Zbl 0941.35103
On the behavior of solutions of a class of nonlinear partial differential equations. (English) Zbl 0951.35117
Reviewer: Dimitar A.Kolev (Sofia)
Stability analysis in order-preserving systems in the presence of symmetry. (English) Zbl 0931.35080
Reviewer: P.Polacik (Bratislava)
Spiral wave dynamics in the complex Ginzburg-Landau equation with broken chiral symmetry. (English) Zbl 0938.35072
Existence of positive radial solutions for a class of quasilinear elliptic systems. (Chinese. English summary) Zbl 0933.35080
Complicated dynamics of parabolic equations with simple gradient dependence. (English) Zbl 0897.35040
On finite-gap elliptic solutions of the KdV equation. (English) Zbl 0956.37052
Reviewer: Mircea Puta (Timişoara)
Structural stability for time periodic parabolic equations. (English) Zbl 0938.35078
Bates, P. W. (ed.) et al., Proceedings of the US-Chinese conference: Differential equations and applications, Hangzhou, China, June 24-29, 1996. Cambridge, MA: International Press. 207-214 (1997).
Reviewer: Ivan Ginchev (Varna)
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. (English) Zbl 0847.35130
Reviewer: G.Jumarie (Montreal)
Hausdorff length of level sets for solutions of the Ginzburg-Landau equation. (English) Zbl 0821.35129
The behavior of solutions of the NLS equation in the semiclassical limit. (English) Zbl 0849.35130
Ercolani, N. M. (ed.) et al., Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. New York, NY: Plenum. NATO ASI Ser., Ser. B, Phys. 320, 235-255 (1994).
Equivalence and \(s\)-equivalence of vector-tensor Lagrangians. (English) Zbl 0753.35003
Reviewer: I.M.Mladenov (Sofia)
Dynamical systems and differential equations. (Hungarian) Zbl 0721.58016
Reviewer: J.Szilasi (Debrecen)
Shape stabilization of wave equation. (English) Zbl 0643.93053
Boundary control and boundary variations, Proc. IFIP WG 7.2 Conf., Nice/France 1987, Lect. Notes Control Inf. Sci. 100, 372-398 (1988).
Reviewer: G.Leugering
On the strange attractor in a problem of synergetics. (English. Russian original) Zbl 0659.35054
U.S.S.R. Comput. Math. Math. Phys. 27, No. 1, 132-140 (1987); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 2, 202-218 (1987).
On a strange attractor in a problem of synergetics. (Russian) Zbl 0646.35044
Reviewer: Yu.S.Eidel’man
Global bounds for some reaction diffusion processes. (English) Zbl 0642.35039
Problems of applied analysis, Pap. 11th Conf. Methods Techniques Math. Phys., Oberwolfach/Ger. 1985, Methoden Verfahren Math. Phys. 33, 87-98 (1987).
Reviewer: A.Dang Dinh
Two-component dissipative systems in a neighbourhood of a bifurcation point. (Russian) Zbl 0628.35046
Mathematical simulation. Processes in nonlinear media, Collect. sci. Works, Moskva 1986, 7-59 (1986).
Reviewer: L.Reizius
On the infinitely many solutions of a semilinear elliptic equation. (English) Zbl 0606.35032
Reviewer: W.Wendt
The dynamical systems approach to differential equations. (English) Zbl 0541.34026
Reviewer: N.H.Pavel
Chaotic traveling waves in general autonomous systems of nonlinear partial differential equations. (English) Zbl 0506.35007
A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam. (English) Zbl 0507.58031
Reaction-diffusion equations in abstract cones. (English) Zbl 0448.35051
Applied nonlinear analysis, Proc. 3rd int. Conf., Arlington/Texas 1978, 219-243 (1979).
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