Labyrinth bifurcations in optically injected diode lasers Vassilios Kovanis, Athanasios Gavrielides  and  Jason A.C. Gallas, European Physics Journal D  58,   181-186 (2010).

The structure of infinite periodic and chaotic hub cascades in phase diagrams of simple autonomous flows Jason A.C. Gallas, Intern. J. of Bifurcation and Chaos  20, 197-211 (2010)

Relative abundance and structure of chaotic behavior: The nonpolynomial Belousov-Zhabotinsky reaction kinetics Joana G. Freire, Richard J. Field   and   Jason A.C. Gallas, Journal of Chemical Physics  131,   044105 (2009)

Exact quantification of the complexity of spacewise pattern growth in cellular automata
Joana G. Freire, Owen J. Brison  and  Jason A.C. Gallas,
Journal of Physics A: Mathematical and Theoretical 42,   395003 (2009)

Relative abundance and structure of chaotic behavior: The nonpolynomial Belousov-Zhabotinsky reaction kinetics
Joana G. Freire, Richard J. Field  and  Jason A.C. Gallas,
Journal of Chemical Physics 131,   044105 (2009)

Multistability, phase diagrams and statistical properties of the kicked rotor: a map with many coexisting attractors Luciano Martins   and   Jason A.C. Gallas, International Journal of Bifurcation and Chaos  18,   1705-1717 (2008)

Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit Cristian Bonatto   and   Jason A.C. Gallas, Physical Review Letters  101,   054101 (2008)

Estructura del espacio de parametros para las ecuaciones del circuito de Chua Marcelo Ramirez Avila   and   Jason A.C. Gallas, Revista Boliviana de Fisica  14,   1-9 (2008)

Prof. Edward Lorenz and shrimps

In his last paper, Prof. Edward N. Lorenz rediscovered "shrimps" in discrete-time systems (maps)
and, in an endnote, graciously aknowledged the priority of our works being published since 1993:
Structure of the parameter space of the Hénon map, J.A.C. Gallas, PRL 70,   2714 (1993)
Prof. Lorenz cites 4 of our earlier (1993-99) papers:
Edward N. Lorenz, Compound windows of the Hénon map, Physica D  237,   1689-1704 (2008)

Shrimps in discrete-time systems (maps) have been studied since the 1990s: Check references here

A current hot topic (cover of several journals !!) is the discovery of shrimps
abundantly and curiously organized in continuous-time systems:
i.e. in flows, models ruled by sets of differential equations (not maps)

For a survey about shrimps in maps and first results concerning ODEs (Duffing):
HI-RES color figs (7.9 Mb):   Structure of the parameter space of a ring cavity,
LO-RES B&W figs (0.7 Mb):  Structure of the parameter space of a ring cavity,
J.A.C. Gallas, Applied Physics B 60, S203-S213 (1995),
Special Supplement of the Festschrift Herbert Walther

Work on Duffing was done in collaboration with
Prof. Yoshisuke UEDA (Tokyo)
who observed deterministic chaos in 1961 (!!...)
in the van der Pol-Duffing system during his thesis work.
Detailed references and color pictures may be found here:

Chaotic phase similarities and recurrences in a damped-driven Duffing oscillator
Cristian Bonatto   Jason A.C. Gallas  and  Yoshisuke Ueda,
Physical Review E  77,   026217 (2008)

We discovered shrimps in modulated CO2 and semiconductor lasers, and other flows:

• Self-similarities in the frequency-amplitude space of a loss-modulated CO2 laser  =  physics 0505213
  Cristian Bonatto, Jean Claude Garreau  and  Jason A.C. Gallas,
  Physical Review Letters  95,  143905 (2005)

• Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit
  Cristian Bonatto   and   Jason A.C. Gallas,
  Physical Review Letters  101,   054101 (2008)

• Accumulation boundaries: Codimension-two accumulation of accumulations in phase diagrams of
  semiconductor lasers, electric circuits, atmospheric, and chemical oscillators
  Cristian Bonatto  and  Jason A.C. Gallas,
  Philosophical Transactions of the Royal Society of London, Series A   366, 505-517 (2008)

• Accumulation horizons and period adding cascades in optically injected semiconductor lasers
  Cristian Bonatto  and  Jason A.C. Gallas,
  Physical Review E  75,   055204(R) (2007), Rapid Communications

Here is a selection of additional publications

• Multistability, phase diagrams and statistical properties of the kicked rotor: a map with many coexisting attractors
  Luciano Camargo Martins   and   Jason A.C. Gallas,
  International Journal of Bifurcation and Chaos  18,   1705-1717 (2008)

• Multistability, phase diagrams, and intransitivity in the Lorenz-84 low-order atmospheric circulation model
  Joana G. Freire, Cristian Bonatto, Carlos DaCamara  and  Jason A.C. Gallas,
  CHAOS 18,   033121 (2008)

• Spatial updating, spatial transients, and regularities of a high-complexity automaton with non-periodic architecture
  Joana G. Freire, Owen J. Brison  and  Jason A.C. Gallas,
  CHAOS 17,   026113 (2007),   Focus Issue: Optimization in Networks  

• Synchronization and predictability under rule 52, a cellular automaton reputedly of class 4
  Joana G. Freire  and  Jason A.C. Gallas,
  Physics Letters A  366,   25-29 (2007)

• Counting orbits in conjugacy classes of the Hénon Hamiltonian repeller    =    DOI    =    Elsevier's free Author Copy
  Jason A.C. Gallas,
  Physics Letters A   360,  512-514 (2007)

• Mandelbrot-like sets in dynamical systems with no critical points
  Antonio Endler  and  Jason A.C. Gallas,
  Comptes Rendus Mathematique (Paris)   342,  681-684 (2006)

• Conjugacy classes and chiral doublets in the Hénon Hamiltonian repeller
  Antonio Endler  and  Jason A.C. Gallas,
  Physics Letters A   356,  1-7 (2006)

• Reductions and simplifications of orbital sums in a Hamiltonian repeller
  Antonio Endler  and  Jason A.C. Gallas,
  Physics Letters A   352,  124-128 (2006)

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