Research

Chaos in Dynamical Systems

Representative Publications:

chaos in hamiltonian systems

E.G. Altmann, A.E. Motter, and H. Kantz,
Stickiness in Hamiltonian systems: from sharply divided to hierarchical phase space,
Phys. Rev. E 73, 026207 (2006).
doi:10.1103/PhysRevE.73.026207

E.G. Altmann, A.E. Motter, and H. Kantz,
Stickiness in mushroom billiards,
Chaos 15, 033105 (2005).
doi:10.1063/1.1979211

A.E. Motter, A.P.S. de Moura, C. Grebogi, and H. Kantz,
Effective dynamics in Hamiltonian systems with mixed phase space,
Phys. Rev. E 71, 036215 (2005).
doi:10.1103/PhysRevE.71.036215

biological and chemical activity in chaotic flows

T. Tel, T. Nishikawa, A.E. Motter, C. Grebogi, and Z. Toroczkai,
Universality in active chaos,
Chaos 14, 72 (2004).
doi:10.1063/1.1626391

A.E. Motter, Y.-C. Lai, and C. Grebogi,
Reactive dynamics of inertial particles in nonhyperbolic chaotic flows,
Phys. Rev. E 68, 056307 (2003).
doi:10.1103/PhysRevE.68.056307

chaos in general relativity and cosmology

A.E. Motter,
Relativistic chaos is coordinate invariant,
Phys. Rev. Lett. 91, 231101 (2003).
doi:10.1103/PhysRevLett.91.231101

A.E. Motter and P.S. Letelier,
FRW cosmologies between chaos and integrability,
Phys. Rev. D 65, 068502 (2002).
doi:10.1103/PhysRevD.65.068502

A.E. Motter and P.S. Letelier,
Mixmaster chaos,
Phys. Lett. A 285, 127 (2001).
doi:10.1016/S0375-9601(01)00349-8

chaotic scattering

R.D. Vilela and A.E. Motter,
Can aerosols be trapped in open flows?
Phys. Rev. Lett. 99, 264101 (2007).
doi:10.1103/PhysRevLett.99.264101 - ANIMATION

A.E. Motter and Y.-C. Lai,
Cusp-scaling behavior in fractal dimension of chaotic scattering,
Phys. Rev. E 65, 065201 (2002).
Rapid Communications
doi:10.1103/PhysRevE.65.065201

A.E. Motter and Y.-C. Lai,
Dissipative chaotic scattering,
Phys. Rev. E 65, 015205 (2002).
Rapid Communications
doi:10.1103/PhysRevE.65.015205