Brake orbits on compact symmetric dynamically convex reversible hypersurfaces on $ \mathbb{R}^\text{2n} $

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2019169 ◽

2019 ◽

Vol 39 (7) ◽

pp. 4187-4206

Author(s):

Zhongjie Liu ◽

◽

Duanzhi Zhang

Keyword(s):

Download Full-text

Multiplicity of brake orbits on compact convex symmetric reversible hypersurfaces in R 2n for n ⩾4

Proceedings of the London Mathematical Society ◽

10.1112/plms/pds077 ◽

2013 ◽

Vol 107 (1) ◽

pp. 1-38 ◽

Author(s):

Duanzhi Zhang ◽

Chungen Liu

Keyword(s):

Compact Convex ◽

Download Full-text

Brake orbits type solutions to some class of semilinear elliptic equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-006-0078-1 ◽

2007 ◽

Vol 30 (1) ◽

pp. 51-83 ◽

Author(s):

Francesca Alessio ◽

Piero Montecchiari

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Brake Orbits ◽

Semilinear Elliptic

Download Full-text

Existence of infinitely many brake orbits of Lagrangian autonomous systems on tori

International Mathematical Forum ◽

10.12988/imf.2007.07207 ◽

2007 ◽

Vol 2 ◽

pp. 2333-2338 ◽

Author(s):

Guangcun Lu ◽

MingYan Wang

Keyword(s):

Autonomous Systems ◽

Download Full-text

Multiplicity of Brake Orbits on a Fixed Energy Surface

Index theory in nonlinear analysis ◽

10.1007/978-981-13-7287-2_10 ◽

2019 ◽

pp. 275-291

Author(s):

Chungen Liu

Keyword(s):

Energy Surface ◽

Fixed Energy ◽

Download Full-text

BRAKE ORBITS IN BOUNDED CONVEX SYMMETRIC DOMAINS

Progress In Variational Methods ◽

10.1142/9789814327848_0006 ◽

2010 ◽

pp. 71-89

Author(s):

Chungen Liu ◽

Duanzhi Zhang

Keyword(s):

Brake Orbits ◽

Download Full-text

Brake Orbits of First Order Convex Hamiltonian Systems with Particular Anisotropic Growth

Acta Mathematica Sinica English Series ◽

10.1007/s10114-020-9043-8 ◽

2020 ◽

Vol 36 (2) ◽

pp. 171-178

Author(s):

Xiao Fei Zhang ◽

Chun Gen Liu

Keyword(s):

Hamiltonian Systems ◽

Anisotropic Growth ◽

First Order ◽

Download Full-text

Multiple Brake Orbits and Homoclinics in Riemannian Manifolds

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-010-0371-1 ◽

2010 ◽

Vol 200 (2) ◽

pp. 691-724 ◽

Author(s):

Roberto Giambò ◽

Fabio Giannoni ◽

Paolo Piccione

Keyword(s):

Riemannian Manifolds ◽

Download Full-text

The Brake Orbits of Hamiltonian Systems on Positive-type Hypersurfaces

10.1007/s11117-006-0051-4 ◽

2006 ◽

Vol 10 (4) ◽

pp. 681-692 ◽

Author(s):

Tianqing An

Keyword(s):

Hamiltonian Systems ◽

Positive Type ◽

Download Full-text

Multiple brake orbits in a potential well and a Seifert conjecture

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00426-6 ◽

2001 ◽

Vol 47 (5) ◽

pp. 3073-3084

Author(s):

Fabio Giannoni

Keyword(s):

Potential Well ◽

Download Full-text

Stability of the brake orbits on reversible symmetric compact convex hypersurfaces in $$\mathbf{R}^{2n}$$ R 2 n

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-016-0363-3 ◽

2016 ◽

Vol 19 (1) ◽

pp. 503-527 ◽

Author(s):

Zhiping Fan ◽

Duanzhi Zhang

Keyword(s):

Compact Convex ◽

Brake Orbits ◽

Compact Convex Hypersurfaces ◽

Convex Hypersurfaces

Download Full-text