Melnikov functions of arbitrary order for piecewise smooth differential systems in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:msup> <mml:mrow> <mml:mi mathvariant="double-struck">R</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>n</mml:mi> </mml:mrow> </mml:msup> </mml:math> and applications
Xingwu Chen, Tao Li, Jaume Llibre
Topics & Concepts
SubmanifoldMathematicsPiecewiseLimit cycleHamiltonian systemUpper and lower boundsRealizabilityBifurcationMathematical analysisHamiltonian (control theory)HyperplaneLimit (mathematics)Pure mathematicsApplied mathematicsCombinatoricsAlgorithmNonlinear systemMathematical optimizationQuantum mechanicsPhysicsAdvanced Differential Equations and Dynamical SystemsLipid metabolism and biosynthesisQuantum chaos and dynamical systems