The number and linking of periodic solutions of periodic systems

DOI10.1007/BF01391795zbMath0538.34025MaRDI QIDQ793208

Takashi Matsuoka

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142978

zbMATH Keywords

attractorrepellertwo dimensional systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (15)

Relative Nielsen numbers, braids and periodic segments ⋮ Period Three Implications for Expansive Maps in R^N ⋮ Nontrivial application of Nielsen theory to differential systems ⋮ The number of linking of periodic solutions of nondissipative systems ⋮ On the forcing relation for surface homeomorphisms ⋮ Topological entropy of composition and impulsive differential equations satisfying a uniqueness condition ⋮ Waveform in the dynamical study of ordinary differential equations ⋮ Some developments in Nielsen fixed point theory ⋮ A modulus of 3-dimensional vector fields ⋮ The number of periodic points of smooth maps ⋮ On the minimum positive entropy for cycles on trees ⋮ Parametric topological entropy and differential equations with time-dependent impulses ⋮ A nontrivial example of application of the Nielsen fixed-point theory to differential systems: Problem of Jean Leray ⋮ Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori ⋮ Links of homeomorphisms of a disk and topological entropy

Cites Work

• Unnamed Item
• The number of periodic solutions of 2-dimensional periodic systems
• The number of subharmonic solutions of non-linear differential equations of the second order
• Transformation theory of non-linear differential equations of the second order
• A generalization of the Levinson-Massera’s equalities

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