In chaos theory, the butterfly effect is the sensitive dependence on initial conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state.
Madama Butterfly is an opera in three acts by Giacomo Puccini, with an Italian libretto by Luigi Illica and Giuseppe Giacosa.
Caterpillars are the larval stage of members of the order Lepidoptera.
Butterflies (Rhopalocera) are insects that have large, often brightly coloured wings, and a conspicuous, fluttering flight. The group comprises the superfamilies Hedyloidea and Papilionoidea. The oldest butterfly fossils have been dated to the Paleocene, about 56 million years ago, though they may have originated earlier.
Lepidoptera is an order of insects that includes butterflies and moths. About 180,000 species of the Lepidoptera have been described, representing ten percent of the total described species of living organisms, and placed in 126 families and 46 superfamilies. It is one of the most widespread and widely recognizable insect orders in the world. The Lepidoptera show many variations of the basic body structure that have evolved to gain advantages in lifestyle and distribution. Recent estimates suggest the order may have more species than earlier thought, and is among the four most species-rich orders, along with the Hymenoptera, Diptera, and Coleoptera.
Moths are a group of insects that includes all members of the order Lepidoptera that are not butterflies. They were previously classified as suborder Heterocera, but the group is paraphyletic with respect to butterflies and neither subordinate taxa are used in modern classifications. Moths make up the vast majority of the order. There are thought to be approximately 160,000 species of moth, many of which have yet to be described. Most species of moth are nocturnal, although there are also crepuscular and diurnal species.
Danainae is a subfamily of the family Nymphalidae, the brush-footed butterflies. It includes the Daniadae, or milkweed butterflies, who lay their eggs on various milkweeds on which their larvae (caterpillars) feed, as well as the clearwing butterflies (Ithomiini), and the tellervini.
The monarch butterfly or simply monarch is a milkweed butterfly in the family Nymphalidae. Other common names, depending on region, include milkweed, common tiger, wanderer, and black-veined brown. It is amongst the most familiar of North American butterflies and an iconic pollinator, although it is not an especially effective pollinator of milkweeds. Its wings feature an easily recognizable black, orange, and white pattern, with a wingspan of 8.9–10.2 cm (3.5–4.0 in). A Müllerian mimic, the viceroy butterfly, is similar in color and pattern, but is markedly smaller and has an extra black stripe across each hindwing.
The Nymphalidae are the largest family of butterflies, with more than 6,000 species distributed throughout most of the world. Belonging to the superfamily Papilionoidea, they are usually medium-sized to large butterflies. Most species have a reduced pair of forelegs and many hold their colourful wings flat when resting. They are also called brush-footed butterflies or four-footed butterflies, because they are known to stand on only four legs while the other two are curled up; in some species, these forelegs have a brush-like set of hairs, which gives this family its other common name. Many species are brightly coloured and include popular species such as the emperors, monarch butterfly, admirals, tortoiseshells, and fritillaries. However, the under wings are, in contrast, often dull and in some species look remarkably like dead leaves, or are much paler, producing a cryptic effect that helps the butterflies blend into their surroundings.
The Pieridae are a large family of butterflies with about 76 genera containing about 1,100 species, mostly from tropical Africa and tropical Asia with some varieties in the more northern regions of North America and Eurasia. Most pierid butterflies are white, yellow, or orange in coloration, often with black spots. The pigments that give the distinct coloring to these butterflies are derived from waste products in the body and are a characteristic of this family. The family was created by William John Swainson in 1820.
A pupa is the life stage of some insects undergoing transformation between immature and mature stages. Insects that go through a pupal stage are holometabolous: they go through four distinct stages in their life cycle, the stages thereof being egg, larva, pupa, and imago. The processes of entering and completing the pupal stage are controlled by the insect's hormones, especially juvenile hormone, prothoracicotropic hormone, and ecdysone. The act of becoming a pupa is called pupation, and the act of emerging from the pupal case is called eclosion or emergence.
Skippers are a group of butterflies placed in the family Hesperiidae within the order Lepidoptera. They were previously placed in a separate superfamily, Hesperioidea; however, the most recent taxonomy places the family in the superfamily Papilionoidea, the butterflies. They are named for their quick, darting flight habits. Most have their antenna tips modified into narrow, hook-like projections. Moreover, skippers mostly have an absence of wing-coupling structure available in most moths. More than 3500 species of skippers are recognized, and they occur worldwide, but with the greatest diversity in the Neotropical regions of Central and South America.
Swallowtail butterflies are large, colorful butterflies in the family Papilionidae, and include over 550 species. Though the majority are tropical, members of the family inhabit every continent except Antarctica. The family includes the largest butterflies in the world, the birdwing butterflies of the genus Ornithoptera.
Lycaenidae is the second-largest family of butterflies, with over 6,000 species worldwide, whose members are also called gossamer-winged butterflies. They constitute about 30% of the known butterfly species.
The Heliconiinae, commonly called heliconians or longwings, are a subfamily of the brush-footed butterflies. They can be divided into 45–50 genera and were sometimes treated as a separate family Heliconiidae within the Papilionoidea. The colouration is predominantly reddish and black, and though of varying wing shape, the forewings are always elongated tipwards, hence the common name.
Pyrginae, commonly known as spread-winged skippers, are a subfamily of the skipper butterfly family (Hesperiidae). The subfamily was established by Hermann Burmeister in 1878. Their delimitation and internal systematics has changed considerably in recent years with the most recent review being in 2019.
The Satyrinae, the satyrines or satyrids, commonly known as the browns, are a subfamily of the Nymphalidae. They were formerly considered a distinct family, Satyridae. This group contains nearly half of the known diversity of brush-footed butterflies. The true number of the Satyrinae species is estimated to exceed 2,400.
The subfamily Theclinae is a group of butterflies, often referred to as hairstreaks, with some species instead known as elfins or by other names. The group is part of the family Lycaenidae, the "gossamer-winged butterflies". There are many tropical species as well as a number found in the Americas. Tropical hairstreaks often have iridescent blue coloration above, caused by reflected light from the structure of the wing scales rather than by pigment. Hairstreaks from North America are commonly brown above. Few Theclinae are migratory. Members of this group are described as 'thecline'.
