Analytical Approximation of the Solution of the Dissipative Standard Map

DOI10.1142/S0218127498001996zbMath0997.37037OpenAlexW1967626673MaRDI QIDQ4941394

Gabriella Della Penna, Alessandra Celletti, Claude Froeschlé

Publication date: 15 May 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127498001996

zbMATH Keywords

dissipative standard mapconservtive Chirkov standard mappingdissipative coefficient

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Nearly integrable Hamiltonian systems, KAM theory (70H08) Dynamical aspects of twist maps (37E40)

Related Items (2)

Biparametric investigation of the general standard map: multistability and global bifurcations ⋮ Weakly Dissipative Systems in Celestial Mechanics

Cites Work

• Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance
• Construction of analytic KAM-surfaces and effective stability bounds
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

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