Bifurcations in two-dimensional reversible maps

DOI10.1016/0378-4371(90)90226-IzbMath0713.58041MaRDI QIDQ749964

D. Kharzeev

Publication date: 1990

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

saddle-node bifurcationbifurcationsreversible mappingstranscritical bifurcationsgeneralized Rimmer bifurcations

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (9)

Conditions for local (reversing) symmetries in dynamical systems ⋮ KAM theorems for the product of two involutions of different types ⋮ The iteration-approximation decoupling in the reversible KAM theory ⋮ Local bifurcations on the plane with reversing point group symmetry ⋮ Normal forms of reversible dynamical systems ⋮ Permanent rotations in nonholonomic mechanics. Omnirotational ellipsoid ⋮ Reversible perturbations of conservative Hénon-like maps ⋮ Lower-dimensional tori in reversible systems ⋮ Quasi-periodic stability of normally resonant tori

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcation of singular solutions in reversible systems and applications to reaction-diffusion equations
• Reversible systems
• Crossover from dissipative to conservative behaviour in period-doubling systems
• Symmetry and bifurcation of fixed points of area preserving maps
• Wave-solutions of reversible systems and applications
• Convergent series expansions for quasi-periodic motions
• Arithmetical Method to Detect Integrability in Maps
• Generic bifurcations for involutory area preserving maps
• Tupling in three-dimensional reversible mappings
• On the Theory of Quasiperiodic Motions

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