Canard Cycles
portes grátis
Canard Cycles
From Birth to Transition
Roussarie, Robert; Dumortier, Freddy; De Maesschalck, Peter
Springer Nature Switzerland AG
08/2022
408
Mole
Inglês
9783030792350
15 a 20 dias
658
Descrição não disponível.
Part I Basic Notions.- 1 Basic Definitions and Notions.- 2 Local Invariants and Normal Forms.- 3 The Slow Vector Field.- 4 Slow-Fast Cycles.- 5 The Slow Divergence Integral.- 6 Breaking Mechanisms.- 7 Overview of Known Results.- Part II Technical Tools.- 8 Blow-Up of Contact Points.- 9 Center Manifolds.- 10 Normal Forms.- 11 Smooth Functions on Admissible Monomials and More.- 12 Local Transition Maps.- Part III Results and Open Problems.- 13 Ordinary Canard Cycles.- 14 Transitory Canard Cycles with Slow-Fast Passage Through a Jump Point.- 15 Transitory Canard Cycles with Fast-Fast Passage Through a Jump Point.- 16 Outlook and Open Problems.- Index.- References.
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Canard cycles;Slow-fast systems;limit cycles;vector field;relaxation oscillations;slow-fast bifurcations;singular pertubation theory;blow up method;transition asymptotics;finite cyclicity;Ordinary Differential Equations
Part I Basic Notions.- 1 Basic Definitions and Notions.- 2 Local Invariants and Normal Forms.- 3 The Slow Vector Field.- 4 Slow-Fast Cycles.- 5 The Slow Divergence Integral.- 6 Breaking Mechanisms.- 7 Overview of Known Results.- Part II Technical Tools.- 8 Blow-Up of Contact Points.- 9 Center Manifolds.- 10 Normal Forms.- 11 Smooth Functions on Admissible Monomials and More.- 12 Local Transition Maps.- Part III Results and Open Problems.- 13 Ordinary Canard Cycles.- 14 Transitory Canard Cycles with Slow-Fast Passage Through a Jump Point.- 15 Transitory Canard Cycles with Fast-Fast Passage Through a Jump Point.- 16 Outlook and Open Problems.- Index.- References.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
