F. J. S. Nascimento

Monotonicity of the Period Function in Planar Separable Hamiltonian Systems: An Extension of Chicone’s Criterion

Abstract We investigate the monotonicity of the period function associated with planar Hamiltonian systems of the form $$H(x,y)=F(x)+G(y),$$ H ( x , y ) = F ( x ) + G ( y ) , where $$G$$ G is an even function. We derive explicit sufficient conditions, expressed solely in terms of...