메뉴 건너뛰기




Volumn 77, Issue 4, 2010, Pages 238-242

Canards and mixed-mode oscillations in a forest pest model

Author keywords

Canards; Forest pest; Mixed mode oscillations

Indexed keywords

ENDEMISM; FORESTRY MODELING; NUMERICAL MODEL; ONE-DIMENSIONAL MODELING; PEST OUTBREAK; TIMESCALE;

EID: 77951206915     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2010.02.003     Document Type: Article
Times cited : (21)

References (29)
  • 3
    • 0023509604 scopus 로고
    • Natural regulation of herbivorous forest insect populations
    • Berryman A.A., Stenseth N.C., and Isaev A.S. Natural regulation of herbivorous forest insect populations. Oecologia 71 (1987) 174-184
    • (1987) Oecologia , vol.71 , pp. 174-184
    • Berryman, A.A.1    Stenseth, N.C.2    Isaev, A.S.3
  • 4
    • 33748865055 scopus 로고    scopus 로고
    • Relaxation oscillations and canards in a nonlinear model of discontinuous plastic deformation in metals at very low temperatures
    • Brøns M. Relaxation oscillations and canards in a nonlinear model of discontinuous plastic deformation in metals at very low temperatures. Proc. R. Soc. A 461 (2005) 2289-2302
    • (2005) Proc. R. Soc. A , vol.461 , pp. 2289-2302
    • Brøns, M.1
  • 5
    • 0013630323 scopus 로고
    • Canard explosion and excitation in chemical systems
    • Brøns M., and Bar-Eli K. Canard explosion and excitation in chemical systems. J. Phys. Chem. 9 (1991) 8706-8713
    • (1991) J. Phys. Chem. , vol.9 , pp. 8706-8713
    • Brøns, M.1    Bar-Eli, K.2
  • 6
    • 34547347930 scopus 로고    scopus 로고
    • Mixed mode oscillations due to the generalized canard phenomenon. Bifurcation theory and spatio-temporal pattern formation
    • Brøns M., Krupa M., and Wechselberger M. Mixed mode oscillations due to the generalized canard phenomenon. Bifurcation theory and spatio-temporal pattern formation. Fields Inst. Commun. 49 (2006) 39-63
    • (2006) Fields Inst. Commun. , vol.49 , pp. 39-63
    • Brøns, M.1    Krupa, M.2    Wechselberger, M.3
  • 7
    • 41549110987 scopus 로고    scopus 로고
    • Introduction to focus issue: Mixed mode oscillations: Experiment, computation, and analysis
    • Brøns M., Kaper T., and Rotstein H.G. Introduction to focus issue: Mixed mode oscillations: Experiment, computation, and analysis. Chaos 18 (2008) 015101
    • (2008) Chaos , vol.18 , pp. 015101
    • Brøns, M.1    Kaper, T.2    Rotstein, H.G.3
  • 8
    • 33845810656 scopus 로고    scopus 로고
    • Canard solutions and travelling waves in the spruce budworm population model
    • Buřič L., Klíč A., and Purmová L. Canard solutions and travelling waves in the spruce budworm population model. Appl. Math. Comput. 43 (2006) 1039-1051
    • (2006) Appl. Math. Comput. , vol.43 , pp. 1039-1051
    • Buřič, L.1    Klíč, A.2    Purmová, L.3
  • 11
    • 15044349622 scopus 로고    scopus 로고
    • Food chain chaos with canard explosion
    • Deng B. Food chain chaos with canard explosion. Chaos 14 4 (2004) 1083-1092
    • (2004) Chaos , vol.14 , Issue.4 , pp. 1083-1092
    • Deng, B.1
  • 12
    • 0028173753 scopus 로고
    • Cycles of forest Lepidoptera: A maternal effect hypothesis
    • Ginzburg L.R., and Taneyhill D.E. Cycles of forest Lepidoptera: A maternal effect hypothesis. J. Anim. Ecol. 63 1 (1994) 79-92
    • (1994) J. Anim. Ecol. , vol.63 , Issue.1 , pp. 79-92
    • Ginzburg, L.R.1    Taneyhill, D.E.2
  • 13
    • 0032406309 scopus 로고    scopus 로고
    • Acidic deposition, plant pests, and the fate of forest ecosystems
    • Gragnani A., Gatto M., and Rinaldi S. Acidic deposition, plant pests, and the fate of forest ecosystems. Theor. Popul. Biol. 54 (1998) 257-269
    • (1998) Theor. Popul. Biol. , vol.54 , pp. 257-269
    • Gragnani, A.1    Gatto, M.2    Rinaldi, S.3
  • 14
    • 41049109414 scopus 로고    scopus 로고
    • The relationship between climate and outbreak characteristics of the spruce budworm in eastern Canada
    • Gray D.R. The relationship between climate and outbreak characteristics of the spruce budworm in eastern Canada. Clim. Change 87 (2008) 361-383
    • (2008) Clim. Change , vol.87 , pp. 361-383
    • Gray, D.R.1
  • 15
    • 4444245921 scopus 로고    scopus 로고
    • Apparent discontinuities in the phase-resetting response of cardiac pacemakers
    • Krogh-Madsen T., Glass L., Doedel E., and Guevara M.R. Apparent discontinuities in the phase-resetting response of cardiac pacemakers. J. Theoret. Biol. 23 (2004) 499-519
    • (2004) J. Theoret. Biol. , vol.23 , pp. 499-519
    • Krogh-Madsen, T.1    Glass, L.2    Doedel, E.3    Guevara, M.R.4
  • 16
    • 55949135112 scopus 로고    scopus 로고
    • Mixed-Mode Oscillations in three time-scale systems: A prototypical example
    • Krupa M., Popović N., and Kopell N. Mixed-Mode Oscillations in three time-scale systems: A prototypical example. SIAM J. Appl. Dyn. Syst. 7 2 (2008) 361-420
    • (2008) SIAM J. Appl. Dyn. Syst. , vol.7 , Issue.2 , pp. 361-420
    • Krupa, M.1    Popović, N.2    Kopell, N.3
  • 17
    • 0035839416 scopus 로고    scopus 로고
    • Relaxation oscillations and canard explosion
    • Krupa M., and Szmolyan P. Relaxation oscillations and canard explosion. J. Differential Equations 17 (2001) 312-368
    • (2001) J. Differential Equations , vol.17 , pp. 312-368
    • Krupa, M.1    Szmolyan, P.2
  • 18
    • 0036252851 scopus 로고    scopus 로고
    • Belyakov homoclinic bifurcations in a tritrophic food chain model
    • Kuznetsov Yu.A., De Feo O., and Rinaldi S. Belyakov homoclinic bifurcations in a tritrophic food chain model. SIAM J. Appl. Math. 62 2 (2001) 462-487
    • (2001) SIAM J. Appl. Math. , vol.62 , Issue.2 , pp. 462-487
    • Kuznetsov, Yu.A.1    De Feo, O.2    Rinaldi, S.3
  • 19
    • 33846885410 scopus 로고    scopus 로고
    • Forest defoliation scenarios
    • Ledder G. Forest defoliation scenarios. Math. Biosci. Eng. 4 (2007) 15-28
    • (2007) Math. Biosci. Eng. , vol.4 , pp. 15-28
    • Ledder, G.1
  • 20
    • 0344895700 scopus 로고    scopus 로고
    • Assessing the impacts of global warming on forest pest dynamics
    • Logan J.A., Regniere J., and Powell J.A. Assessing the impacts of global warming on forest pest dynamics. Front. Ecol. Environment 1 (2003) 130-137
    • (2003) Front. Ecol. Environment , vol.1 , pp. 130-137
    • Logan, J.A.1    Regniere, J.2    Powell, J.A.3
  • 21
    • 0000073691 scopus 로고
    • Qualitative analysis of insect outbreak systems: The spruce budworm and forest
    • Ludwig D., Jones D.D., and Holling C.S. Qualitative analysis of insect outbreak systems: The spruce budworm and forest. J. Anim. Ecol. 47 (1978) 315-332
    • (1978) J. Anim. Ecol. , vol.47 , pp. 315-332
    • Ludwig, D.1    Jones, D.D.2    Holling, C.S.3
  • 22
    • 31544467353 scopus 로고    scopus 로고
    • Canards for a reduction of the Hodgkin-Huxley equations
    • Moehlis J. Canards for a reduction of the Hodgkin-Huxley equations. J. Math. Biol. 5 (2006) 141-153
    • (2006) J. Math. Biol. , vol.5 , pp. 141-153
    • Moehlis, J.1
  • 23
    • 0024776084 scopus 로고
    • Catastrophic bifurcations in a second-order dynamical system with application to acid rain and forest collapse
    • Muratori S., and Rinaldi S. Catastrophic bifurcations in a second-order dynamical system with application to acid rain and forest collapse. Appl. Math. Modelling 13 (1989) 674-681
    • (1989) Appl. Math. Modelling , vol.13 , pp. 674-681
    • Muratori, S.1    Rinaldi, S.2
  • 26
    • 0027061650 scopus 로고
    • Limit cycles in slow-fast forest-pest models
    • Rinaldi S., and Muratori S. Limit cycles in slow-fast forest-pest models. Theor. Popul. Biol. 41 (1992) 26-43
    • (1992) Theor. Popul. Biol. , vol.41 , pp. 26-43
    • Rinaldi, S.1    Muratori, S.2
  • 27
    • 0346026437 scopus 로고    scopus 로고
    • Bifurcation analysis of calcium oscillations: Time-scale separation, canards, and frequency lowering
    • Schuster S., and Marhl M. Bifurcation analysis of calcium oscillations: Time-scale separation, canards, and frequency lowering. J. Biol. Syst. 9 4 (2001) 291-314
    • (2001) J. Biol. Syst. , vol.9 , Issue.4 , pp. 291-314
    • Schuster, S.1    Marhl, M.2
  • 28
    • 0031307638 scopus 로고    scopus 로고
    • Local and global bifurcations at infinity in models of glycolytic oscillations
    • Sturis J., and Brøns M. Local and global bifurcations at infinity in models of glycolytic oscillations. J. Math. Biol. 36 2 (1997) 119-132
    • (1997) J. Math. Biol. , vol.36 , Issue.2 , pp. 119-132
    • Sturis, J.1    Brøns, M.2
  • 29
    • 39649120848 scopus 로고    scopus 로고
    • Impact of non-outbreak insect damage on vegetation in northern Europe will be greater than expected during a changing climate
    • Wolf A., Kozlov M.V., and Callaghan T.V. Impact of non-outbreak insect damage on vegetation in northern Europe will be greater than expected during a changing climate. Clim. Change 87 (2008) 91-106
    • (2008) Clim. Change , vol.87 , pp. 91-106
    • Wolf, A.1    Kozlov, M.V.2    Callaghan, T.V.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.