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Some representative early papers on chaotic scattering are C. Jung, "Poincare map for scattering states," J. Phys. A A19, 1345 (1986);
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J. Phys. A
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Jung, C.1
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M. Hénon, "Chaotic scattering modeled by an inclined billiard," Physica D 33, 132 (1988);
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P. Gaspard and S. A. Rice, "Scattering from a classically chaotic repellor," J. Chem. Phys. 90, 2225 (1989);
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G. Troll and U. Smilansky, "A simple model for chaotic scattering; I. Classical theory," Physica D 35D, 34 (1989).
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S. Bleher, C. Grebogi, and E. Ott, "Bifurcation to chaotic scattering," Physica D 46, 87 (1990).
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Physica D
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Transition to chaotic scattering
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M. Ding, C. Grebogi, E. Ott, and J. A. Yorke, "Transition to chaotic scattering," Phys. Rev. A 42, 7025 (1990).
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Phys. Rev. A
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Ding, M.1
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For a relatively early review of chaotic scattering, see Chaos Focus Issue 3(4) (1993).
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, Issue.4
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8
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Comments on the hamiltonian formulation for linear and nonlinear oscillators including dissipation
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M. A. F. Sanjuán, "Comments on the hamiltonian formulation for linear and nonlinear oscillators including dissipation," J. Sound Vib. 185, 734 (1995).
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Sanjuán, M.A.F.1
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See, for example, P. T. Boyd and S. L. W. McMillian, "Chaotic scattering in the gravitational three-body problem," Chaos 3, 507 (1993).
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Boyd, P.T.1
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See, for example, A. A. Chernikov and G. Schmidt, "Chaotic scattering and acceleration of particles by waves," Chaos 3, 525 (1993).
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See, for example, H. Aref, "Integrable, chaotic, and turbulent vortex motion in two-dimensional flows," Annu. Rev. Fluid Mech. 15, 345 (1983);
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"Stirring by chaotic advection," J. Fluid Mech. 143, 1 (1984);
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J. Fluid Mech.
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Integrable and chaotic motion of four vortices. II. Collision dynamics of vortex pairs
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B. Eckhardt and H. Aref, "Integrable and chaotic motion of four vortices. II. Collision dynamics of vortex pairs," Philos. Trans. R. Soc. London, Ser. A 326, 655 (1988);
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E. Ziemniak, C. Jung, and T. Tél, "Tracer dynamics in open hydrodynamical flows as chaotic scattering," Physica D 76, 123 (1994);
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Á. Péntek, T. Tél, and Z. Toroczkai, "Chaotic advection in the velocity field of leapfrogging vortex pairs," J. Phys. A 28, 2191 (1995);
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G. Stolovitzky, T. J. Kaper, and L. Sirovich, "A simple model of chaotic advection and scattering," Chaos 5, 671 (1995).
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T. Yamamoto and K. Kaneko, "Helium atom as a classical three-body problem," Phys. Rev. Lett. 70, 1928 (1993).
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See, for example, R. A. Jalabert, H. U. Baranger, and A. D. Stone, "Conductance fluctuations in the ballistic regime: A probe of quantum chaos?," Phys. Rev. Lett. 65, 2442 (1990);
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Y.-C. Lai, R. Blümel, E. Ott, and C. Grebogi, "Quantum manifestations of chaotic scattering," Phys. Rev. Lett. 68, 3491 (1992);
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C. M. Marcus, R. M. Westervelt, P. F. Hopkins, and A. C. Gossard, "Conductance fluctuations and quantum chaotic scattering in semiconductor microstructures," Chaos 3, 643 (1993);
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A. P. S. de Moura, Y.-C. Lai, R. Akis, J. P. Bird, and D. K. Ferry, "Tunneling and nonhyperbolicity in quantum dots," Phys. Rev. Lett. 88, 236 804 (2002).
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C. Grebogi, E. Ott, and J. A. Yorke, "Crises, sudden changes in chaotic attractors, and transient chaos," Physica D 7, 181 (1983).
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T. Tel, in Directions in Chaos, edited by B-l. Hao (World Scientific, Singapore, 1990), Vol. 3;
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in STATPHYS 19, edited by B-l. Hao (World Scientific, Singapore, 1996).
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J. Aguirre, J. C. Vallejos, and M. A. F. Sanjuán, "Wada basins and chaotic invariant sets in the Hénon-Heiles system," Phys. Rev. E 64, 066 208 (2001).
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L. Poon, J. Campos, E. Ott, and C. Grebogi, "Wada basins boundaries in chaotic scattering," Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 251 (1996).
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C. F. F. Karney, "Long-time correlations in the stochastic regime," Physica D 8, 360 (1983);
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B. V. Chirikov and D. L. Shepelyansky, "Correlation properties of dynamical chaos in Hamiltonian systems," Physica D 13, 395 (1984);
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J. D. Meiss and E. Ott, "Markov tree model of transport in area-preserving maps," Physica D 20, 387 (1986);
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Y.-C. Lai, M. Ding, C. Grebogi, and R. Blümel, "Algebraic decay and fluctuations of the decay exponent in Hamiltonian systems," Phys. Rev. A 46, 4661 (1992).
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A. E. Motter and Y.-C. Lai, "Dissipative chaotic scattering," Phys. Rev. E 65, 015 205 (2001).
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Z. Toroczkai, G. Károlyi, Á. Péntek, T. Tél, C. Grebogi, and J. A. Yorke, "Wada dye boundaries in open hydrodynamical flows," Physica A 239, 235 (1997);
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