On the Melnikov functions and limit cycles near a double homoclinic loop with a nilpotent saddle of order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:mover accent="true"> <mml:mrow> <mml:mi>m</mml:mi> </mml:mrow> <mml:mrow> <mml:mo stretchy="false">ˆ</mml:mo> </mml:mrow> </mml:mover> </mml:math>
Junmin Yang, Pei Yu, Maoan Han
Topics & Concepts
Homoclinic orbitMathematicsNilpotentSaddleLoop (graph theory)Limit (mathematics)Order (exchange)QuotientHamiltonian (control theory)CombinatoricsMathematical analysisMathematical physicsBifurcationPhysicsQuantum mechanicsEconomicsMathematical optimizationNonlinear systemFinanceAdvanced Differential Equations and Dynamical SystemsQuantum chaos and dynamical systemsAdvanced Differential Geometry Research