Singular relative integral invariants and adiabatic processes of thermodynamics

DOI10.1007/BF02169050zbMath0942.37007MaRDI QIDQ1125635

R. I. Bogdanov

Publication date: 12 December 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

singularitiesinvariant measurescontact structurethermodynamic systemsDulac's problemFeigenbaum mappingPoincaré's first return mapsingular relative integral invariants

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Basic methods in thermodynamics and heat transfer (80M99)

Cites Work

• A two-dimensional mapping with a strange attractor
• Theory of nonlinear lattices
• Quantitative universality for a class of nonlinear transformations
• Local relative integral invariants determined by the phase portrait of a vector field on the plane
• THE BOGDANOV MAP: BIFURCATIONS, MODE LOCKING, AND CHAOS IN A DISSIPATIVE SYSTEM
• Deterministic Nonperiodic Flow
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