Transversal bounded solutions in systems with normal slow variables

DOI10.1006/jdeq.2000.3767zbMath0965.34035OpenAlexW1974471588MaRDI QIDQ1587632

Michal Fečkan, Joseph Gruendler

Publication date: 29 July 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3767

zbMATH Keywords

bifurcationperiodic perturbationsweakly coupled systemsautonomous ordinary differential equationsslowly varying coefficientstransversal bounded solutions

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Averaging method for ordinary differential equations (34C29) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Multiple homoclinic solutions for singular differential equations ⋮ Subharmonic solutions bifurcated from homoclinic orbits for weakly coupled singular systems

Cites Work

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• Global bifurcations and chaos. Analytical methods
• Dichotomies in stability theory
• Heteroclinic orbits in singular systems: A unifying approach
• The existence of transverse homoclinic solutions for higher order equations
• Exponential dichotomies and transversal homoclinic points
• Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
• Homoclinic Orbits in Slowly Varying Oscillators
• Homoclinic-Hopf interaction: an autoparametric bifurcation
• Singular Perturbation Theory for Homoclinic Orbits in a Class of Near- Integrable Dissipative Systems
• Exponential trichotomy and heteroclinic bifurcations
• Averaging methods in nonlinear dynamical systems

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