Qi Wang, Qingye Zhang
Abstract
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We study the existence and multiplicity of homoclinic orbits for second‐order Hamiltonian systems , where L(t) is unnecessarily positive definite for all t ∈ ℝ, and ∇qW(t, q) is of at most linear growth and satisfies some twist condition between the origin and the infinity.
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We study the existence and multiplicity of homoclinic orbits for second‐order Hamiltonian systems , where L(t) is unnecessarily positive definite for all t ∈ ℝ, and ∇qW(t, q) is of at most linear growth and satisfies some twist condition between the origin and the infinity.
Key concepts: Homoclinic orbit, Mathematics, Twist, Hamiltonian system, Multiplicity (mathematics), Hamiltonian (control theory), Order (exchange), Mathematical physics